Answer:
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
10*15*6=900
Answer:
W = 55T
Step-by-step explanation:
He types 110 / 2 = 55 words every minute. Thus, W = 55T
Answer:
sin(2x)=cos(π2−2x)
So:
cos(π2−2x)=cos(3x)
Now we know that cos(x)=cos(±x) because cosine is an even function. So we see that
(π2−2x)=±3x
i)
π2=5x
x=π10
ii)
π2=−x
x=−π2
Similarly, sin(2x)=sin(2x−2π)=cos(π2−2x−2π)
So we see that
(π2−2x−2π)=±3x
iii)
π2−2π=5x
x=−310π
iv)
π2−2π=−x
x=2π−π2=32π
Finally, we note that the solutions must repeat every 2π because the original functions each repeat every 2π. (The sine function has period π so it has completed exactly two periods over an interval of length 2π. The cosine has period 23π so it has completed exactly three periods over an interval of length 2π. Hence, both functions repeat every 2π2π2π so every solution will repeat every 2π.)
So we get ∀n∈N
i) x=π10+2πn
ii) x=−π2+2πn
iii) x=−310π+2πn
(Note that solution (iv) is redundant since 32π+2πn=−π2+2π(n+1).)
So we conclude that there are really three solutions and then the periodic extensions of those three solutions.
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Related Questions (More Answers Below)
X = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out.
Cost = 14.75x
Now to determine whether the cost would be equal, we need to set the two equations equal to each other.
105 + 9.50x = 14.75x
Now solve for x
105 = 5.25x
20 = x
<span>That's your answer.</span><span> They would have to rent 20 times to equal each other. </span>
